Step |
Hyp |
Ref |
Expression |
1 |
|
scutbdaybnd2 |
|
2 |
1
|
adantr |
|
3 |
|
bdayfun |
|
4 |
|
ssltex1 |
|
5 |
|
ssltex2 |
|
6 |
|
unexg |
|
7 |
4 5 6
|
syl2anc |
|
8 |
|
funimaexg |
|
9 |
3 7 8
|
sylancr |
|
10 |
9
|
uniexd |
|
11 |
10
|
adantr |
|
12 |
|
nlimsucg |
|
13 |
11 12
|
syl |
|
14 |
|
limeq |
|
15 |
14
|
biimpcd |
|
16 |
15
|
adantl |
|
17 |
13 16
|
mtod |
|
18 |
17
|
neqned |
|
19 |
|
bdayelon |
|
20 |
19
|
onordi |
|
21 |
|
imassrn |
|
22 |
|
bdayrn |
|
23 |
21 22
|
sseqtri |
|
24 |
|
ssorduni |
|
25 |
23 24
|
ax-mp |
|
26 |
|
ordsuc |
|
27 |
25 26
|
mpbi |
|
28 |
|
ordelssne |
|
29 |
20 27 28
|
mp2an |
|
30 |
2 18 29
|
sylanbrc |
|
31 |
19
|
a1i |
|
32 |
|
ordsssuc |
|
33 |
31 25 32
|
sylancl |
|
34 |
30 33
|
mpbird |
|